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Finding the Fourth Proportional to 8,602.84, 12,894.92 and 3,608.44

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Solution

The fourth proportional to 8,602.84, 12,894.92 and 3,608.44 is: 5,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.84 : 12,894.92 = 3,608.44 : x
  2. Step 2: Convert to fraction form
    8,602.84/12,894.92 = 3,608.44/x
  3. Step 3: Cross multiply
    8,602.84x = 12,894.92 × 3,608.44
  4. Step 4: Simplify right side
    8,602.84x = 46,530,545.12
  5. Step 5: Solve for x
    x = 46,530,545.12/8,602.84
  6. Step 6: Final answer
    x = 5,408.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.